document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82664>Question 82664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following ststem of linear inequalities by graphing\r<BR>\n" );
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document.write( "x+2y<3<BR>\n" );
document.write( "2x-3y<6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59255 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following ststem of linear inequalities by graphing<BR>\n" );
document.write( "x+2y<3<BR>\n" );
document.write( "2x-3y<6<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "solve each equation for y:<BR>\n" );
document.write( "y<(-1/2)x+(3/2)<BR>\n" );
document.write( "y>(2/3)x-2<BR>\n" );
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document.write( "Graph the EQUALTIY which is the boundary of each of the INEQUALITIES:<BR>\n" );
document.write( "Each graph is drawn as a dashed line because the EQUALITY Is not part<BR>\n" );
document.write( "of the final answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B%283%2F2%29%2C%282%2F3%29x-2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B%283%2F2%29%2C%282%2F3%29x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pick a test point in-between the lines, like (0,0)<BR>\n" );
document.write( "Substitute the test point values into each INEQUALITY to <BR>\n" );
document.write( "see where the solution half-plane is:<BR>\n" );
document.write( "0<(-1/2)*0+(3/2); 0<(3/2); that is true so the test point satisfies <BR>\n" );
document.write( "0>(2/3)*0-2; 0>-2; that is true so the test point satisfies.<BR>\n" );
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document.write( "The half-plane below the 1st equation and above the 2nd equation<BR>\n" );
document.write( "is the solution set; that is a wedge-shaped area; see it?<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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